Homotopy analysis method for fractional IVPs
| Author | Hashim, I. |
| Author | Abdulaziz, O. |
| Author | Momani, S. |
| Available date | 2009-12-27T10:18:52Z |
| Publication Date | 2007-09-30 |
| Publication Name | Communications in Nonlinear Science and Numerical Simulation |
| Identifier | http://dx.doi.org/10.1016/j.cnsns.2007.09.014 |
| Citation | Hashim, I., Abdulaziz, O., & Momani, S. (2009). Homotopy analysis method for fractional IVPs. Communications in Nonlinear Science and Numerical Simulation, 14(3), 674–684 |
| Abstract | In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo’s sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach. |
| Language | en |
| Publisher | Elsevier |
| Subject | Fractional IVPs Homotopy analysis method Caputo’s fractional derivative |
| Type | Article |
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Mathematics, Statistics & Physics [740 items ]